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234196320 = 25353115739
BaseRepresentation
bin11011111010110…
…00110101100000
3121022200101221210
431331120311200
5434423240240
635123350120
75542431051
oct1575306540
9538611853
10234196320
1111021a186
1266522340
133969b307
1423164728
1515861780
hexdf58d60

234196320 has 96 divisors (see below), whose sum is σ = 761564160. Its totient is φ = 60433920.

The previous prime is 234196271. The next prime is 234196343. The reversal of 234196320 is 23691432.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7011 + ... + 22749.

It is an arithmetic number, because the mean of its divisors is an integer number (7932960).

Almost surely, 2234196320 is an apocalyptic number.

234196320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234196320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380782080).

234196320 is an abundant number, since it is smaller than the sum of its proper divisors (527367840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

234196320 is a wasteful number, since it uses less digits than its factorization.

234196320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15788 (or 15780 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 234196320 is about 15303.4741153765. The cubic root of 234196320 is about 616.3962986526.

The spelling of 234196320 in words is "two hundred thirty-four million, one hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 14880 15739 31478 47217 62956 78695 94434 125912 157390 188868 236085 251824 314780 377736 472170 487909 503648 629560 755472 944340 975818 1259120 1463727 1510944 1888680 1951636 2439545 2518240 2927454 3777360 3903272 4879090 5854908 7318635 7554720 7806544 9758180 11709816 14637270 15613088 19516360 23419632 29274540 39032720 46839264 58549080 78065440 117098160 234196320